Calculating Minimum Power for Perception of Radiation from a Point Source

In summary, the minimum power required for a point source of radiation with an intensity of 8*10^-7 W/m^2 at a distance of 10 m to still be perceived is 0.001 Watt. This can be calculated using the equation P=I*A, where I is the intensity and A is the area of a spherical body with a radius of 10 m.
  • #1
jasmin_89
2
1
Homework Statement
Power source of radiation
Relevant Equations
Is my solution correct?
Hallo, can anybody help me and check if i have the right result:

What is the minimum power P that a point source of radiation (I=8*10^(-7) W/m^2) at a distance of l=10 m from the listener must have in order to still be perceived? (Note: The emitted energy per area can be related to a spherical body with A=4 π r^2)

P=I*A
P=8*10^-7 (W/m^2)*4*pi *(10m)^2= 0,001 Watt
 
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  • #2
:welcome:

Your result looks correct to me.

Small nitpick: If no other constraints are given I would probably write the result as 1.0⋅10-3 W or just 1.0 mW to better signal the number of significant digits in the result.
 
  • #3
Ok, thank you :)
 
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Related to Calculating Minimum Power for Perception of Radiation from a Point Source

1. What is radiation?

Radiation is a form of energy that is emitted in the form of waves or particles. It can come from natural sources, such as the sun, or from man-made sources, such as X-rays or nuclear power plants.

2. What is the power source of radiation?

The power source of radiation depends on the type of radiation. For example, gamma rays and X-rays are produced by the decay of atomic nuclei, while ultraviolet and infrared radiation come from the sun's nuclear fusion reactions. Radioactive materials are also a common source of radiation.

3. How is radiation used as a power source?

Radiation can be used as a power source in various ways. One common application is in nuclear power plants, where the heat generated by nuclear reactions is used to produce electricity. Radiation is also used in medical treatments, such as radiation therapy for cancer patients.

4. What are the potential dangers of radiation as a power source?

Exposure to high levels of radiation can be harmful to living organisms, causing damage to cells and DNA. It is important for power plants and other facilities that use radiation as a power source to have safety measures in place to protect workers and the environment.

5. How can we minimize the risks associated with radiation as a power source?

To minimize the risks of using radiation as a power source, it is important to follow safety protocols and regulations. This includes proper training for workers, regular maintenance and monitoring of equipment, and proper disposal of radioactive materials. It is also important to use alternative sources of energy, such as renewable energy, to reduce reliance on radiation as a power source.

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